Greatest Common Factor of 497 and 503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 497, 503 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 497 and 503 is 1.

GCF(497,503) = 1

GCF of 497 and 503

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 497 and 503

GCF of 497 and 503 is 1

Prime Factorization of 497


7 497
71 71
1

Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:

497 = 71×711

Prime Factorization of 503


503 503
1

Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:

503 = 5031

∴ So by taking common prime factors GCF of 497 and 503 is 1

Greatest Common Factor of 497 and 503 by matching factors method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors and prime factorization of 497 and 503. The biggest common factor number is the GCF number.
So the greatest common factor 497 and 503 is 1.

Also check out the Least Common Multiple of 497 and 503

Properties of GCF 497 and 503

(i) The GCF of 497 and 503 is associative

GCF of 497 and 503 = GCF of 503 and 497

Related Greatest Common Factor of 497

Related Greatest Common Factor of 503

Frequently Asked Questions on GCF of 497 and 503

1. What is the GCF of 497 and 503?

Answer: GCF of 497 and 503 is 1.

2. What are the Factors of 497?

Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.

3. What are the Factors of 503?

Answer: Factors of 503 are 1, 503. There are 2 integers that are factors of 503. The greatest factor of 503 is 503.

4. How to Find the GCF of 497 and 503?

Answer:

Greatest Common Factor of 497 and 503 = 1

Step 1: Find the prime factorization of 497

497 = 7 x 71

Step 2: Find the prime factorization of 503

503 = 503

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 497 and 503 is 1